TITLE: Reading materials for mathematical logic
QUESTION [28 upvotes]: Hi everyone, the summer break is coming and I am thinking of reading something about mathematical logic. Could anyone please give me some reading materials on this subject?

REPLY [3 votes]: Joe Mileti wrote a really nice set of course notes on mathematical logic (approx 20 weeks of lectures). It's a draft for a book titled, I think, "Mathematical Logic for Mathematicians."  The course notes are beautifully written (and beautifully delivered, if you've had the chance to see him lecture).  He's a very nice guy, and I would suggest contacting him about it.  
My memory is a bit hazy about the topics he covered, but we discussed propositional and first order logic, nonstandard analysis, and axiomatic set theory.  I also remember that some highlights included connections to graph theory and algebra (I guess this sort of touches upon his research themes).